PSEB Class 11 Maths Syllabus: The Punjab School Education Board (PSEB)’s new syllabus for Class 11 Maths is available here for the 2024-2025 academic session. The PSEB Class 11 Mathematics Syllabus is designed to streamline and enhance students' learning experience. The syllabus provides a detailed breakdown of assessment criteria, unit-wise topic distribution, exam pattern, and practical details. Familiarity with these curriculum details is essential for students, as it enables them to plan their studies more efficiently and understand the importance of each topic for the upcoming exams. This way, students can optimize their performance and achieve good marks in exams.
Check and download the comprehensive syllabus below:
PSEB Class 11 Mathematics Syllabus 2024-2025
Unit-1:Sets and Functions
1.Sets: Sets and their representations. Empty set, Finite & Infinite sets, Equal sets, Subsets, Subsets of the set of real numbers especially intervals (with notations). Universal set. Venn diagrams. Union and Intersection of sets. Difference of sets. Complement of a set, Properties of Complement .
2.Relations & Functions: Ordered pairs, Cartesian product of sets. Number of elements in the Cartesian product of two finite sets. Cartesian product of the reals with itself (upto R x R x R). Definition of relation, pictorial diagrams, domain, co-domain and range of a relation. Function as a special type of relation. Pictorial representation of a function, domain, co-domain and range of a function. Real valued function, domain and range of these functions, constant, identity, polynomial, rational, modulus, signum and greatest integer functions with their graphs. Sum, difference, product and quotients of functions.
3.Trigonometric Functions: Positive and negative angles. Measuring angles in radians and in degrees and conversion from one measure to another. Definition of trigonometric functions with the help of unit circle. Truth of the identity sin2x + cos2x = 1, for all x. Signs of trigonometric functions. Domain and range of trigonometric function and their graphs. Expressing sin (x ± y) and cos(x ± y) in terms of sinx, siny, cosx & cosy and their simple applications. Deducing identities like the following:
Identities related to sin2x, cos2x, tan2x, sin3x, cos3x and tan3x.
Unit-II Algebra
4.Complex Numbers and Quadratic Equations: Need for complex numbers, especially √−1 , to be motivated by inability to solve some of the quadratic equation. Algebraic properties of complex number. Argand plane and polar representation of complex numbers. Statement of Fundamental Theorem of Algebra, solution of quadratic equations (with real coefficients) in the complex number system. Square root of a complex number.
5.Linear Inequalities: Linear inequalities. Algebraic solutions of linear inequalities in one variable and their representation on the number line.
6.Permutations & Combinations: Fundamental principle of counting, Factorial n(n!) Permutations and combinations, derivation of formulae for npr and ncr and their connections, simple applications.
7.Binomial Theorem: History, statement and proof of the binomial theorem for positive integral indices. Pascal’s triangle. Simple applications.
8.Sequence and Series: Sequence and Series. Arithmetic Mean (A.M.) , Geometric Progression ( G.P.), general term of a G.P, sum of n terms of a G.P. Infinite G.P. and its sum, geometric mean (G.M), relation between A.M. and G.M.
Unit-III: Coordinate Geometry
9.Straight Lines: Brief recall of two dimensional geometry from earlier classes. Slope of a line and angle between two lines .Various forms of equations of a line: parallel to axis, point– slope form, slop–intercept form, two–point form, intercept form. Distance of a point from a line.
10.Conic Sections: Sections of a cone: circles, ellipse, parabola, hyperbola, a point, a straight line and a pair of intersecting lines as a degenerated case of a conic section. Standard equations and simple properties of parabola, ellipse and hyperbola. Standard equations of a circle.
11.Introduction to Three-dimensional Geometry: Coordinate axes and coordinate planes in three dimensions .Coordinates of a point. Distance between two points.
Unit-IV: Calculus
12.Limits and Derivatives: Derivative introduced as rate of change both as that of distance function and geometrically. intuitive idea of limit. Limits of polynomials and rational functions trigonometric, exponential and logarithmic functions. Definition of derivative, relate it to slope of tangent of the curve, derivative of sum, difference, product and quotient of functions. Derivatives of polynomial and trigonometric functions.
Unit-V: Statistics and Probability
13.Statistics: Measure of Dispersion: Range, mean deviation, variance and standard deviation of ungrouped/grouped data.
14.Probability: Events: Occurrence of events, ‘not’, ‘and’ & ‘or’ events, exhaustive events, mutually exclusive events. Axiomatic (set theoretic) probability, connections with others theories of earlier classes. Probability of an event, probability of ‘not’, ‘and’ & ‘or’ events.
Internal Assessment - 20 Marks
- Mathematics Activities - 10 Marks
- Distribution of marks under CCE (Besides Mathematics Activities ) - 10 Marks
Assessment of Activity work - Time: 2hrs - 10 Marks
Throughout the year any 10 activities shall be performed be the student from the activities given in the NCERT Laboratory Manual for the respective class (XI or XII) which is available on the link: http//www.ncert.nic.in/exemplar/labmanuals.html. A record of the same may be kept by the student. An year end test on the activity may be conducted at the School Level. The weightage are as under:
- The activities and one of the projects performed by the student throughout the year and recordkeeping: 5marks
- Assessment of the activity performed during the year end test: 3 marks
- Viva-voce: 2 marks
To check the details of internal assessment and know the complete list of suggested activities, download the complete syllabus below:
PSEB Class 11 Mathematics Syllabus 2024-2025 PDF |
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